The advent of psycholinguistic and neurolinguistic methodologies has provided new insights into theories of language acquisition. Sequential multilingualism is no exception, and some of the most recent work on the subject has incorporated a particular focus on language processing. This chapter surveys some of the work on the processing of lexical and morphosyntactic aspects of third or further languages, with different offline and online methodologies. We also discuss how, while increasingly sophisticated techniques and experimental designs have improved our understanding of third language acquisition and processing, simpler but clever designs can answer pressing questions in our theoretical debate. We provide examples of both sophistication and clever simplicity in experimental design, and argue that the field would benefit from incorporating a combination of both concepts into future work.